This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A063293 #14 Feb 17 2025 12:33:26 %S A063293 -1,3,10,17,22,29,34,45,46,57,58,71,70,85,82,99,94,111,106,127,118, %T A063293 139,130,153,142,167,154,181,166,193,178,209,190,221,202,235,214,249, %U A063293 226,263,238,275,250,291,262,303,274,317,286,331,298,345,310 %N A063293 Dimension of the space of weight n cuspidal newforms for Gamma_1( 20 ). %H A063293 William A. Stein, <a href="http://wstein.org/Tables/dimskg1new.gp">Dimensions of the spaces S_k^{new}(Gamma_1(N))</a> %H A063293 William A. Stein, <a href="http://wstein.org/Tables/">The modular forms database</a> %H A063293 <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 1, 0, 1, 0, 0, 0, -1). %F A063293 From _Colin Barker_, Feb 24 2016: (Start) %F A063293 a(n) = a(n-4) + a(n-6) - a(n-10) for n>13. %F A063293 G.f.: -x^2*(1 -3*x -10*x^2 -17*x^3 -23*x^4 -26*x^5 -25*x^6 -25*x^7 -14*x^8 -11*x^9 -x^10) / ((1 -x)^2*(1 +x)^2*(1 -x +x^2)*(1 +x^2)*(1 +x +x^2)). %F A063293 (End) %Y A063293 Cf. A017641 (bisection) %K A063293 sign %O A063293 2,2 %A A063293 _N. J. A. Sloane_, Jul 14 2001